Some remarks on the visual angle metric
type: Item
instance of: scholarly article
title: Some remarks on the visual angle metric
zbMATH Open document ID: 1355.30019
author: Parisa Hariri
author: M. Vuorinen
author: Gendi Wang
published in: Computational Methods and Function Theory
publication date: 2016-06-10T00:00:00Z
full work available at URL: https://arxiv.org/abs/1410.5943
review text: The local behavior of quasiconformal mappings in terms of different metrics in Euclidean space is studied. The so-called hyperbolic metric and distance ratio metric are introduced. The relationship between the two metrics mentioned above is obtained. In the case of the half-space and the ball, the extremal points for the visual angle metric are found. Uniform continuity of quasiconformal maps with respect to the triangular ratio metric and the visual angle metric is obtained.
Mathematics Subject Classification ID: 30C65
zbMATH DE Number: 6591904
zbMATH Keywords: quasiconformal mappings
zbMATH Keywords: estimates of the distortion
zbMATH Keywords: hyperbolic metrics
reviewed by: Evgeny Sevost'yanov
MaRDI profile type: Publication
OpenAlex ID: W1844212399
arXiv ID: 1410.5943
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DOI: 10.1007/S40315-015-0137-8
description: scientific article; zbMATH DE number 6591904